Applied Physics B

, Volume 82, Issue 2, pp 203–206 | Cite as

Soliton complexes and flat-top nonlinear modes in optical lattices



We describe a continuous analog of the quasirectangular flat-top nonlinear modes earlier found for discrete nonlinear models. We show that these novel nonlinear modes can be understood as multi-soliton complexes with either in-phase or out-of-phase neighboring solitons trapped by the periodic potential of the lattice. We demonstrate a link between the flat-top states and the truncated nonlinear Bloch waves, and discuss how these nonlinear localized modes can be monitored experimentally in photonics and Bose–Einstein condensates.


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  1. 1.
    Christodoulides DN, Lederer F, Silberberg Y (2003) Nature 424:817CrossRefPubMedADSGoogle Scholar
  2. 2.
    Kivshar YS, Agrawal GP (2003) Optical Solitons: From Fibers to Photonic Crystals. Academic, San Diego, CA, p 540Google Scholar
  3. 3.
    Christodoulides DN, Joseph RI (1988) Opt. Lett. 13:794ADSCrossRefGoogle Scholar
  4. 4.
    Lederer F, Damanyan S, Kobyakov A (2001) Discrete solitons, in: Trillo S, Torruellas W (eds) Spatial Solitons. Springer, Berlin, p 269Google Scholar
  5. 5.
    Neshev D, Sukhorukov AA, Hanna B, Krolikowski W, Kivshar YS (2004) Phys. Rev. Lett. 93:083905CrossRefPubMedADSGoogle Scholar
  6. 6.
    Eisenberg HS, Silberberg Y, Morandotti R, Boyd AR, Aitchison JS (1998) Phys. Rev. Lett. 81:3383CrossRefADSGoogle Scholar
  7. 7.
    Fleischer JW, Carmon T, Segev M, Efremidis NK, Christodoulides DN (2003) Phys. Rev. Lett. 90:023902CrossRefPubMedADSGoogle Scholar
  8. 8.
    Neshev D, Ostrovskaya EA, Kivshar YS, Krolikowski W (2003) Opt. Lett. 28:710PubMedCrossRefADSGoogle Scholar
  9. 9.
    Fratalocchi A, Assanto G, Brzdakiewicz KA, Karpierz MA (2005) Opt. Lett. 30:174CrossRefPubMedADSGoogle Scholar
  10. 10.
    Darmanyan S, Kobyakov A, Lederer F, Vázquez L (1999) Phys. Rev. B 59:5994CrossRefADSGoogle Scholar
  11. 11.
    Kartashov YV, Vysloukh VA, Torner L (2004) Opt. Express 12:2831CrossRefADSGoogle Scholar
  12. 12.
    Louis PJY, Ostrovskaya EA, Savage CM, Kivshar YS (2003) Phys. Rev. A 67:013602CrossRefADSGoogle Scholar
  13. 13.
    Anker T, Albiez M, Gati R, Hunsmann S, Eiermann B, Trombettoni A, Oberthaler MK (2005) Phys. Rev. Lett. 94:020403CrossRefPubMedADSGoogle Scholar
  14. 14.
    Pelinovsky DE, Sukhorukov AA, Kivshar YS (2004) Phys. Rev. E 70:036618CrossRefMathSciNetADSGoogle Scholar
  15. 15.
    Chen Z, Acks M, Ostrovskaya EA, Kivshar YS (2000) Opt. Lett. 25:417CrossRefADSGoogle Scholar
  16. 16.
    Kivshar YS, Peyrard M (1992) Phys. Rev. A 46:3198CrossRefPubMedADSGoogle Scholar
  17. 17.
    Konotop VV, Salerno M (2002) Phys. Rev. A 65:021602(R)CrossRefADSMathSciNetGoogle Scholar
  18. 18.
    Louis PJ, Ostrovskaya EA, Savage C, Kivshar YS (2003) Phys. Rev. A 67:013602CrossRefADSGoogle Scholar
  19. 19.
    Zobay O, Pötting S, Meystre P, Wright EM (1999) Phys. Rev. A 59:643CrossRefADSGoogle Scholar
  20. 20.
    Ahufinger V, Sanpera A, Pedri P, Santos L, Lewenstein M (2004) Phys. Rev. A 69:053604CrossRefADSGoogle Scholar
  21. 21.
    Trombettoni A, Smerzi A (2001) Phys. Rev. Lett. 86:2353CrossRefPubMedADSGoogle Scholar

Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  1. 1.Nonlinear Physics Center and Australian Center for Quantum-Atom Optics (ACQAO), Research School of Physical Sciences and EngineeringAustralian National UniversityCanberraAustralia

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